How to Solve Problems Involving AC Voltage Using Integral Calculus

[maali5]

Homework Statement

A generated AC voltage has a value given by V = 4cos2θ.

You will need to use the identity cos^2⁡θ = 1/2(1+cos2θ)

Homework Equations

a) Find the mean value of the voltage over a full cycle (0 ≤ θ ≤ 2π) using integral calculus

b) Find the r.m.s. value of the voltage over a full cycle (0 ≤ θ ≤ 2π) using integral calculus

The Attempt at a Solution

How should I be able to solve problems like this?

Thanx

 

[LCKurtz]

Homework Statement

A generated AC voltage has a value given by V = 4cos2θ.

You will need to use the identity cos^2⁡θ = 1/2(1+cos2θ)

Homework Equations

a) Find the mean value of the voltage over a full cycle (0 ≤ θ ≤ 2π) using integral calculus

b) Find the r.m.s. value of the voltage over a full cycle (0 ≤ θ ≤ 2π) using integral calculus

The Attempt at a Solution

How should I be able to solve problems like this?

Thanx

Use the formulas for mean and rms and do the integrals. Show us what you get.

 

[maali5]

Use the formulas for mean and rms and do the integrals. Show us what you get.

I know the two formulas but please explain to me what to do with it. I am lost.

Give me somewhere to start please.

 

[LCKurtz]

I know the two formulas but please explain to me what to do with it. I am lost.

Give me somewhere to start please.

You start with the formulas. If you know the formulas, they are nothing more than integrals. Do you know how to evaluate integrals?

I don't know how to help you until you show me what formulas you are trying and where you are stuck.